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Finding the Third Proportional to 647,699 and 905,732

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Solution

The third proportional to 647,699 and 905,732 is: 1,266,561.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,699 : 905,732 = 905,732 : x
  2. Step 2: Convert to fraction form
    647,699/905,732 = 905,732/x
  3. Step 3: Cross multiply
    647,699x = 905,732 × 905,732
  4. Step 4: Simplify right side
    647,699x = 820,350,455,824
  5. Step 5: Solve for x
    x = 820,350,455,824/647,699
  6. Step 6: Final answer
    x = 1,266,561.25

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.